Coherent states for a quantum particle on a circle

Abstract

The coherent states for the quantum particle on the circle are introduced. The Bargmann representation within the actual treatment provides the representation of the algebra $[\hat{J},U]=U$, where $U$ is unitary, which is a direct consequence of the Heisenberg algebra $[\hat{\varphi },\hat{J}]=i$, but it is more adequate for the study of the circlular motion.

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